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Finding the Fourth Proportional to 13,676.81, 20,515.23 and 4,317.78

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Solution

The fourth proportional to 13,676.81, 20,515.23 and 4,317.78 is: 6,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.81 : 20,515.23 = 4,317.78 : x
  2. Step 2: Convert to fraction form
    13,676.81/20,515.23 = 4,317.78/x
  3. Step 3: Cross multiply
    13,676.81x = 20,515.23 × 4,317.78
  4. Step 4: Simplify right side
    13,676.81x = 88,580,228.20
  5. Step 5: Solve for x
    x = 88,580,228.20/13,676.81
  6. Step 6: Final answer
    x = 6,476.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.